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σ₀ = (1,2,3,4)(5,6), σ₁ = (1,3,2,7)(4,5), σ∞ = (5,6,4,1)(7,2)
Base field: 1 - 6T + 17T^2 - 30T^3 + 36T^4 - 30T^5 - 31T^6 + 138T^7 + 16T^8 - 270T^9 - 51T^10 + 210T^11 + 105T^12
Embedding: 1.799184 + 0.499179√(-1)
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